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Finding the Fourth Proportional to 83,124.60, 124,662.60 and 29,810.40

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Solution

The fourth proportional to 83,124.60, 124,662.60 and 29,810.40 is: 44,706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,124.60 : 124,662.60 = 29,810.40 : x
  2. Step 2: Convert to fraction form
    83,124.60/124,662.60 = 29,810.40/x
  3. Step 3: Cross multiply
    83,124.60x = 124,662.60 × 29,810.40
  4. Step 4: Simplify right side
    83,124.60x = 3,716,241,971.04
  5. Step 5: Solve for x
    x = 3,716,241,971.04/83,124.60
  6. Step 6: Final answer
    x = 44,706.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.